Based on the multiple regression analysis output, write the estimated multiple regression equation. 2. Interpret regression coefficients b1 and b2. 3. Interpret the multiple coefficient of determination r-square. SUMMARY OUTPUT Regression Statistics Multiple R 0.2799898 R Square 0.0783943 Adjusted R Square 0.0773582 Standard Error 815.92221 Observations 1782 ANOVA df SS MS F Significance F Regression 2 100742487 50371243.5 75.66328 0 Residual 1779 1184331979 665729.049 Total 1781 1285074466 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 453.2116 54.454876 8.32269998 1.691E-16 346.409336 560.01385 346.40934 560.01385 Planning and Service Area -2.9570645 2.02988334 -1.4567657 0.1453575 -6.938271392 1.0241424 -6.9382714 1.0241424 Participant Key Characteristics Sub-Category 91.438973
Based on the multiple regression analysis output, write the estimated multiple regression equation. 2. Interpret regression coefficients b1 and b2. 3. Interpret the multiple coefficient of determination r-square. SUMMARY OUTPUT Regression Statistics Multiple R 0.2799898 R Square 0.0783943 Adjusted R Square 0.0773582 Standard Error 815.92221 Observations 1782 ANOVA df SS MS F Significance F Regression 2 100742487 50371243.5 75.66328 0 Residual 1779 1184331979 665729.049 Total 1781 1285074466 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 453.2116 54.454876 8.32269998 1.691E-16 346.409336 560.01385 346.40934 560.01385 Planning and Service Area -2.9570645 2.02988334 -1.4567657 0.1453575 -6.938271392 1.0241424 -6.9382714 1.0241424 Participant Key Characteristics Sub-Category 91.438973
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
1. Based on the multiple
2. Interpret regression coefficients b1 and b2.
3. Interpret the multiple coefficient of determination r-square.
SUMMARY OUTPUT | ||||||||
Regression Statistics | ||||||||
Multiple R | 0.2799898 | |||||||
R Square | 0.0783943 | |||||||
Adjusted R Square | 0.0773582 | |||||||
Standard Error | 815.92221 | |||||||
Observations | 1782 | |||||||
ANOVA | ||||||||
df | SS | MS | F | Significance F | ||||
Regression | 2 | 100742487 | 50371243.5 | 75.66328 | 0 | |||
Residual | 1779 | 1184331979 | 665729.049 | |||||
Total | 1781 | 1285074466 | ||||||
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | |
Intercept | 453.2116 | 54.454876 | 8.32269998 | 1.691E-16 | 346.409336 | 560.01385 | 346.40934 | 560.01385 |
Planning and Service Area | -2.9570645 | 2.02988334 | -1.4567657 | 0.1453575 | -6.938271392 | 1.0241424 | -6.9382714 | 1.0241424 |
Participant Key Characteristics Sub-Category | 91.438973 | 7.48583988 | 12.214925 | 5.218E-33 | 76.75700756 | 106.12094 | 76.757008 | 106.12094 |
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman